Petri map for vector bundles near good bundles

Details Petri map for vector bundles near good bundles Petri map for vector bundles near good bundles

2012-03-05

arxiv.org/abs/1203.0983v2

Mathematics

Algebraic Geometry

11 pages

Scientific paper

We show that on a generic curve and under some conditions on the degree and
genus, there exists a component B of the locus of stable vector bundles of rank
r and degree d with at least k sections of the expected dimension such that for
a generic vector bundle E of B, the Petri map is injective.

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